Find the moment of the force 5i+10j+16k acting at the point 2i−7j+10k about the point 5i+6j−10k.
A
408i+12j−135k
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B
−408i+148j+35k
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C
−31i−191j+5k
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D
31i+191j−5k
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Solution
The correct option is B−408i+148j+35k The displacement vector =(5i+6j−10k)−(2i−7j+10k) =3i+13j−20k Hence →M=→F×→R =(5i+10j+16k)×(3i+13j−20k) =i(−200−208)−j(−148)+35k =−408i+148j+35k